Abstract
This study investigates the validity of the Westervelt equation for focused transducers. The angular spectrum method is employed to analyze the second-harmonic acoustic field under the weakly nonlinear approximation. Although it is well known that the Westervelt equation is accurate for the case of quasi-plane waves, the present work demonstrates accurate solution for the highly focused case of a spherically-curved ultrasound transducer having an aperture angle of 80°. It is further found that the solution error is inversely dependent on the nonlinearity coefficient.
Original language | English (US) |
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Article number | 5776764 |
Pages (from-to) | 1097-1101 |
Number of pages | 5 |
Journal | IEEE transactions on ultrasonics, ferroelectrics, and frequency control |
Volume | 58 |
Issue number | 5 |
DOIs | |
State | Published - May 2011 |
All Science Journal Classification (ASJC) codes
- Instrumentation
- Acoustics and Ultrasonics
- Electrical and Electronic Engineering